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Simplifying 0 = 3x2 + -27x Reorder the terms: 0 = -27x + 3x2 Solving 0 = -27x + 3x2 Solving for variable 'x'. Remove the zero: 27x + -3x2 = -27x + 3x2 + 27x + -3x2 Reorder the terms: 27x + -3x2 = -27x + 27x + 3x2 + -3x2 Combine like terms: -27x + 27x = 0 27x + -3x2 = 0 + 3x2 + -3x2 27x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 27x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(9 + -1x) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0, 9}
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